Partial cross sections for the photoion formation from C
60 and C
70 were determined from the yields of singly,doubly, and triply charged ions which were measured by mass spectrometry combined with tunable synchrotronradiation at
h = 25-120 eV. The dependence of the detection efficiencies on the mass-to-charge ratio wasevaluated by using the formula proposed by Twerenbold et al. Corrections of the detection efficiency werefound to be critical for obtaining accurate partial cross sections for photoionization of fullerenes. Revisionswere made of the partial cross-section curves for single and double photoionization of C
60 and C
70. The curvefor triple photoionization of C
70 was newly proposed. The ratios between the cross sections for double andsingle photoionization increase with
h and reach saturated values of 0.78 at 85 eV for C
60 and ~1.3 at 100eV for C
70. In contrast, the ratios at 120 eV between the cross sections for triple and single photoionizationof C
60 and C
70 amount to 0.14 and ~0.38, respectively. The formation mechanism of multiply charged fullereneions was discussed in terms of valence-electron excitation to antibonding unoccupied orbitals and/or sphericalstanding waves inside the cavity of a fullerene. This excitation could be followed by Spectator Auger processesand transmission of the excess electronic energy among numerous vibrational degrees of freedom.